Final answer to the problem
$x=\frac{4}{-3}$
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Apply the formula: $\frac{a}{x}=\frac{b}{y}$$\to \frac{x}{a}=\frac{y}{b}$, where $a=5$, $b=2$, $x=x-7$ and $y=x-2$
$\frac{x-7}{5}=\frac{x-2}{2}$
Learn how to solve equations rationnelles problems step by step online.
$\frac{x-7}{5}=\frac{x-2}{2}$
Learn how to solve equations rationnelles problems step by step online. 5/(x-7)=2/(x-2). Apply the formula: \frac{a}{x}=\frac{b}{y}\to \frac{x}{a}=\frac{y}{b}, where a=5, b=2, x=x-7 and y=x-2. Apply the formula: \frac{a}{b}=\frac{c}{f}\to af=bc, where a=x-7, b=5, c=x-2 and f=2. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-7, x=2 and a+b=x-7. Apply the formula: x\left(a+b\right)=xa+xb, where a=x, b=-2, x=5 and a+b=x-2.
Final answer to the problem
$x=\frac{4}{-3}$
Exact Numeric Answer
$x=-1.3333333$
